405330120 has 192 divisors, whose sum is σ = 1428401520. Its totient is φ = 99090432.

The previous prime is 405330103. The next prime is 405330143. The reversal of 405330120 is 21033504.

It can be written as a sum of positive squares in 8 ways, for example, as 180150084 + 225180036 = 13422^2 + 15006^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 405330093 and 405330102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1202592 + ... + 1202928.

Almost surely, 2^405330120 is an apocalyptic number.

405330120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714200760).

405330120 is an abundant number, since it is smaller than the sum of its proper divisors (1023071400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405330120 is a wasteful number, since it uses less digits than its factorization.

405330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 405330120 is about 20132.8120241560. The cubic root of 405330120 is about 740.0645913914.

Adding to 405330120 its reverse (21033504), we get a palindrome (426363624).

It can be divided in two parts, 405330 and 120, that added together give a triangular number (405450 = T₉₀₀).

The spelling of 405330120 in words is "four hundred five million, three hundred thirty thousand, one hundred twenty".